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Question

The self inductance of a long solenoid cannot be increased by

A
Increasing its area of cross-section
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B
Increasing its length
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C
Changing the medium with greater permeability
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D
Increasing the number of turns in it
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E
Increasing the current through it
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Solution

The correct option is E Increasing the current through it
The self-inductance of a long solenoid
L=μN2Al
From the above expression, it is clear that the self-inductance of a long solenoid does not depend upon the current flowing through it.
i.e., the self-inductance of a long solenoid cannot be increased by increasing the current through it.

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